Chapter 8.3, Problem 48HP

To determine

To compare and contrast the procedure used to multiply a trinomial by a binomial using the vertical method with the procedure used to multiply a three-digit number by a two-digit number.

Explanation of Solution

Given:

Procedure used to multiply a trinomial by a binomial using the vertical method with the procedure used to multiply a three-digit number by a two-digit number.

Each of the $3$ terms of the trinomial are similar to the three digits of a 3-digit number. Similarly, each of the $2$ terms of the binomial is similar to the two digits of a $2$ -digit number.

In multiplication of numbers, we align places of the digits vertically while we align like terms for polynomials.

The procedure of multiplication is the same for both but the result of multiplication of numbers is a number while for multiplication of polynomials, the result is a polynomial.

Conclusion:

Therefore, the procedure of multiplication is the same for both but the result of multiplication of numbers is a number while for multiplication of polynomials, the result is a polynomial.